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PhysicsQ&A LibraryAs a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tankrecently purchased by the artillery.Field testing has revealed the following information:1) The tank moves from rest to a speed of 50 ??/ℎ? in 100 seconds.2) Using the breaking system, the tank is brought to a complete stop from a speed of 50 ??/ℎ? in 5 seconds.3) The maximum speed achievable by the tank is 90 km/hr.You are required to address all the questions below providing all calculations, graphs, and explanations asappropriate to back your answers. Hint: make sure you are using consistent unitsFirst: Motion of the tank:a) Find the average driving acceleration of the tank.b) Calculate the average breaking acceleration of the tank.c) For parts (a) and b above parts report your answers in US Customary Units so that the information could beshared with experts from the US.d) How long would it take the tank to travel a distance of 12 km. Assume constant acceleration equal to that calculated inpart (a) up to the maximum achievable speed of 90 km/hr after which the tank maintains its speed constant.e) For the motion described in part (d) above, find the expressions for the acceleration, velocity and the position of thetank as a function of time. Draw x(t), v(t), and a(t) for the entire 12 km trip. Assume motion is one dimensional alongthe x-axis starting from rest at location x = 0 mPage 5 of 85Second: Motion of the fired bomb:The tank is to be placed on a hill that is 2 km high above the ground. The enemy’s base is located at a horizontal distance of 8km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant andequal to 9.8?/?2 downwards.a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit thetarget?b) What is the duration it would take the bomb to hit the target?c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 2 km)d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) whenthe bomb reaches the ground level.Question

Asked Jan 18, 2020

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As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank

recently purchased by the artillery.

Field testing has revealed the following information:

1) The tank moves from rest to a speed of 50 ??/ℎ? in 100 seconds.

2) Using the breaking system, the tank is brought to a complete stop from a speed of 50 ??/ℎ? in 5 seconds.

3) The maximum speed achievable by the tank is 90 km/hr.

You are required to address all the questions below providing all calculations, graphs, and explanations as

appropriate to back your answers. Hint: make sure you are using consistent units

First: Motion of the tank:

a) Find the average driving acceleration of the tank.

b) Calculate the average breaking acceleration of the tank.

c) For parts (a) and b above parts report your answers in US Customary Units so that the information could be

shared with experts from the US.

d) How long would it take the tank to travel a distance of 12 km. Assume constant acceleration equal to that calculated in

part (a) up to the maximum achievable speed of 90 km/hr after which the tank maintains its speed constant.

e) For the motion described in part (d) above, find the expressions for the acceleration, velocity and the position of the

tank as a function of time. Draw x(t), v(t), and a(t) for the entire 12 km trip. Assume motion is one dimensional along

the x-axis starting from rest at location x = 0 m

Page 5 of 8

5

Second: Motion of the fired bomb:

The tank is to be placed on a hill that is 2 km high above the ground. The enemy’s base is located at a horizontal distance of 8

km away and it is in a valley 0.5 km below the ground. Air resistance is neglected. Gravitational acceleration is constant and

equal to 9.8?/?

2 downwards.

a) If the bomb is to be fired perfectly horizontally, what should the launching speed of the bomb be in order to hit the

target?

b) What is the duration it would take the bomb to hit the target?

c) Find x(t) and y(t). Consider the initial location of the tank to be (0, 2 km)

d) Draw the trajectory of the bomb (x and y coordinates). Indicate clearly the value of x (horizontal displacement) when

the bomb reaches the ground level.

Step 1

Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.

Step 2

Part(a):

Given:

Initial velocity, u = 0

Final velocity, v = 50 km/hr = 50 X (5/18) = 13.89 m/s

Time = 100 s

Acceleration can be calculated by using Newtons equation of motion

Step 3

Part (b):

Final velocity, v = 0

Initial velocity, u = 50 km/hr = 50 X (5/18) = 13.89 m/s

T...

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